This paper deals with the scattering of time harmonic flexural waves by a through crack in a magnetically saturated plate under a uniform magnetic field normal to the plate surfaces. The analysis is based on Mindlin's plate theory of magneto-elastic interactions under a magnetic field. An incident w
Scattering of oblique flexural waves by a through crack in a conducting Mindlin plate in a uniform magnetic field
โ Scribed by Yasuhide Shindo; Shingo Tohyama
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 824 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0020-7683
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โฆ Synopsis
This paper deals with the scattering of time harmonic flexural waves by a through crack in a conducting plate under a uniform magnetic field normal to the crack surface. This study is based on Mindlin's theory of plate bending for magneto-elastic interactions under a quasistatic electromagnetic field. It is assumed that the plate has finite and electric conductivity, and the electric and magnetic permeabilities of free space. An incident wave giving rise to moments symmetric about the crack plane is applied in an arbitrary direction. Fourier transforms are used to reduce the mixed boundary value problem to one involving the numerical solution of Fredholm integral equations. The dynamic moment intensity factor vs frequency is computed and the influence of the magnetic field and the angle of incidence on the normalized values is displayed graphically.
๐ SIMILAR VOLUMES
The diffraction of a plane flexural wave by a through-the-thickness crack in an elastic plate is examined by application of Mindlin's theory of flexural motions of plates. In his theory, which takes into account the rotatory inertia and shear effects, an incident flexural wave passing through the cr
The diffraction of flexural waves by a short straight crack in an elastic thin plate is considered. The vibrations of the plate are described by the Kirchhoff model. The Fourier method transforms the problem to integral equations of convolution on an interval. The theorems of existence and uniquenes